Pith Number

pith:MB4FJOTO

pith:2006:MB4FJOTOW3L7YAFMTS5LMC3MB2

not attested not anchored not stored refs pending

Nearly Tri-bimaximal Neutrino Mixing and CP Violation from mu-tau Symmetry Breaking

He Zhang, Shun Zhou, Zhi-zhong Xing

arxiv:hep-ph/0607091 v3 · 2006-07-09 · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MB4FJOTOW3L7YAFMTS5LMC3MB2}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:36:13.562218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607854ba6eb6d7fc00ac9cbab60b6c0eacc123a23ffa0c67af3926762af9daf3

Aliases

arxiv: hep-ph/0607091 · arxiv_version: hep-ph/0607091v3 · doi: 10.48550/arxiv.hep-ph/0607091 · pith_short_12: MB4FJOTOW3L7 · pith_short_16: MB4FJOTOW3L7YAFM · pith_short_8: MB4FJOTO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/MB4FJOTOW3L7YAFMTS5LMC3MB2 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 607854ba6eb6d7fc00ac9cbab60b6c0eacc123a23ffa0c67af3926762af9daf3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca6ca824f262b0438cf5da12fe1ce8524b95da43d080ea63d23d11c56b8b2128",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2006-07-09T02:59:43Z",
    "title_canon_sha256": "1cc8b0bc37c6840d3ef03682931f59af7c570b91ad527b1d870c1a9b599fa589"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0607091",
    "kind": "arxiv",
    "version": 3
  }
}